integrating of exponential of exponential function

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I need the analytic answer of this integral, if possible.

I can calculate it numerically but I was wondering if an analythical solution exist.

$$\large \int_0^{+\infty}\ \frac{\text{d}x}{\large e^{a\cdot e^{b\ x}}-1}$$

Where $a, b > 0$